Contact Problem for an Elastic Reinforcement Bonded to an Elastic Plate
Contact Problem for an Elastic Reinforcement Bonded to an Elastic Plate
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DOI：
10.1115/1.3423425
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发表时间：
1974-12
期刊：
影响因子：
--
通讯作者：
F. Erdogan;M. Civelek
中科院分区：
文献类型：
--
作者：
F. Erdogan;M. Civelek
研究了弹性薄板粘结弹性筋的接触问题。将加筋层视为弹性膜，将底板视为弹性连续体。假定这两种材料之间的粘结要么是直接粘结，要么是通过一层薄薄的粘结层，粘结层被视为剪切弹簧。文中还给出了将加筋板和底板都当作膜处理的简单情况的解。给出了一系列数值算例的接触应力。在直接粘结的情况下，接触应力在加筋端变为无穷大，对于连续介质模型具有典型的平方根奇异性，对于膜模型则表现为增量函数。在通过粘结层粘合的情况下，接触应力沿整个接触区域变得有限且连续。
The contact problem for a thin elastic reinforcement bonded to an elastic plate is considered. The stiffening layer is treated as an elastic membrane and the base plate is assumed to be an elastic continuum. The bonding between the two materials is assumed to be either one of direct adhesion or through a thin adhesive layer which is treated as a shear spring. The solution for the simple case in which both the stiffener and the base plate are treated as membranes is also given. The contact stress is obtained for a series of numerical examples. In the direct adhesion case the contact stress becomes infinite at the stiffener ends with a typical square root singularity for the continuum model and behaving as a delta function for the membrane model. In the case of bonding through an adhesive layer the contact stress becomes finite and continuous along the entire contact area.